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Finding the Third Proportional to 307,173 and 480,813

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Solution

The third proportional to 307,173 and 480,813 is: 752,608.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,173 : 480,813 = 480,813 : x
  2. Step 2: Convert to fraction form
    307,173/480,813 = 480,813/x
  3. Step 3: Cross multiply
    307,173x = 480,813 × 480,813
  4. Step 4: Simplify right side
    307,173x = 231,181,140,969
  5. Step 5: Solve for x
    x = 231,181,140,969/307,173
  6. Step 6: Final answer
    x = 752,608.92

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.